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A natural gas with the volumetric flow rate of Q(L/s) containing helium is flowing through a hollow cylindrical tube made of Pyrex glass with the
A natural gas with the volumetric flow rate of Q(L/s) containing helium is flowing through a hollow cylindrical tube made of Pyrex glass with the length of L in order to separate helium from natural gas. The inlet partial pressure of the helium into the tube is PA,in. Helium is also diffusing through the Pyrex glass with the diffusivity of DAB(A= helium and B= Pyrex glass ), by which the natural gas is purified from helium contamination. The internal and external radii of the hollow cylinder are R1 and R2, respectively. The concentrations of helium at the internal and external surfaces of the hollow cylinder are CA1 and CA2, respectively. a) Assuming the system temperature is T, what will be the outlet partial pressure of helium in terms of the given parameters above? You MUST draw the schematic diagram of this treatment system and label all known parameters along with the control volume for each material balance you make. (20 points) b) Is it possible to solve this problem using mass transfer coefficients? In no more than two lines, explain your reasons. Only the first two lines of explanation will be considered if answered more than two lines. (10 points) c) For the following set of data, calculate the outlet partial pressure of the helium in terms of atm. (20 points) NOTE: Clearly state all assumptions you make. You must show the details of your solution including the schematic diagram of the system and control volumes for each material balance. Marks will be deducted if the solution steps are not shown
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